Question

A bull’s-eye with a 4-inch diameter covers 20 percent of a circular target. What is the area, in square inches, of the target?

Answer 1

Area of target = 62.8 inch²

Explanation:

A bull’s-eye with a 4-inch diameter covers 20 percent of a circular target.

Diameter of bull's eye = 4 inch

`\texttt{Area of bull's eye = }(\pi* 4^2)/(4)=12.56inch^2`

Given that bull’s-eye covers 20% of circular target.

`\texttt{Area of bull's eye = }(20)/(100)* \texttt{Area of target}\\\\\texttt{Area of target}* 0.2=12.56\\\\\texttt{Area of target}=(12.56)/(0.2)=62.8inch^2`

Area of target = 62.8 inch²

Answer 2

Area of a circle is found using the formula: Area = π * r^2

Using 3.14 for π

Area of the bull'e eye = π * 2^2 = 4π = 4 * 3.14 = 12.56 square inches.

This is 20% of the entire target.

To find the area of the entire target, divide the area of the bull's eye by the percentage:

Area = 12.56 / 0.20 = 62.8 square inches.

Round the answer as needed.